2625120 has 72 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 699648.

The previous prime is 2625079. The next prime is 2625137. The reversal of 2625120 is 215262.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2625093 and 2625102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

2^2625120 is an apocalyptic number.

2625120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2625120 is an abundant number, since it is smaller than the sum of its proper divisors (6338016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2625120 is a wasteful number, since it uses less digits than its factorization.

2625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2625120 is about 1620.2222069827. Note that the first 4 decimals coincide. The cubic root of 2625120 is about 137.9483108245.

The spelling of 2625120 in words is "two million, six hundred twenty-five thousand, one hundred twenty".